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arXiv:math/0305395 [math.DG]AbstractReferencesReviewsResources

Cusp geometry and the cobordism invariance of the index

Sergiu Moroianu

Published 2003-05-28, updated 2004-07-13Version 3

The cobordism invariance of the index on closed manifolds is reproved using the calculus of cusp pseudodifferential operators on a manifold with boundary. More generally, on a compact manifold with corners, the existence of a symmetric cusp differential operator of order 1 and of Dirac type near the boundary implies that the sum of the indices of the induced operators on the hyperfaces is null.

Comments: 17 pages, abridged version, to appear in Adv. Math
Journal: Adv. Math. 194 (2005), 504-519
Categories: math.DG, math.AP
Subjects: 58J20, 58J42
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